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A uniform rod AB has mass 3 kg and length 4 m . The end A of the rod is in contact with rough horizontal ground.
The rod rests in equilibrium on a smooth horizontal peg 1.5 m above the ground, such that the rod is inclined at an angle of \(25 ^ { \circ }\) to the ground (see diagram).
The rod is in a vertical plane perpendicular to the peg.
- Determine the magnitude of the normal contact force between the peg and the rod.
- Determine the range of possible values of the coefficient of friction between the rod and the ground.